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Finding the Fourth Proportional to 689.99, 953.55 and 565.45

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Solution

The fourth proportional to 689.99, 953.55 and 565.45 is: 781.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.99 : 953.55 = 565.45 : x
  2. Step 2: Convert to fraction form
    689.99/953.55 = 565.45/x
  3. Step 3: Cross multiply
    689.99x = 953.55 × 565.45
  4. Step 4: Simplify right side
    689.99x = 539,184.85
  5. Step 5: Solve for x
    x = 539,184.85/689.99
  6. Step 6: Final answer
    x = 781.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.